find-the-value-of-Max-x-R-sin-x-3-cos-x-1-2-

Question Number 157989 by mnjuly1970 last updated on 30/Oct/21

f i n d t h e v a l u e o f :

{Max}_{x \in R} ({(\sin (x) + \sqrt{3} c o s (x) + 1)}^{2} = ?

Commented by cortano last updated on 30/Oct/21

f (x) = {(\sin (x) + \sqrt{3} \cos (x) + 1)}^{2}

f (x) = {(2 (\frac{1}{2} \sin x + \frac{\sqrt{3}}{2} \cos x) + 1)}^{2}

f (x) = {(2 \cos (x - \frac{π}{6}) + 1)}^{2}

m a x f (x) = 9

Commented by mnjuly1970 last updated on 30/Oct/21

t h a n k s a l o t s i r